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Finding the Third Proportional to 116,814 and 255,742

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Solution

The third proportional to 116,814 and 255,742 is: 559,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,814 : 255,742 = 255,742 : x
  2. Step 2: Convert to fraction form
    116,814/255,742 = 255,742/x
  3. Step 3: Cross multiply
    116,814x = 255,742 × 255,742
  4. Step 4: Simplify right side
    116,814x = 65,403,970,564
  5. Step 5: Solve for x
    x = 65,403,970,564/116,814
  6. Step 6: Final answer
    x = 559,898.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.